In 1987, Zagier and Kramarz published a paper in which they presented evidence that a positive proportion of the even-signed cubic twists of the elliptic curve x3+y3=1 should have positive rank. We extend their data, showing that it is more likely that the proportion goes to zero.
Watkins, Mark, "Rank Distribution in a Family of Cubic Twists" (2005). Mathematics - Faculty Scholarship. 105.
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